Researchers Have Claimed That the Average Number of Headaches Per $n = 15$

Multiple Choice

Researchers have claimed that the average number of headaches per student during a semester Statistics is 14. Statistics students believe the average is higher. In a sample of $n = 15$ students th mean is 19 headaches with a deviation of 1.9. Which of the following represent the null and alternative hypotheses necessary to test the students' belief?

A) $H _ { 0 } : \mu < 14$ vs. $H _ { \mathrm { a } } : \mu = 14$
B) $H _ { 0 } : \mu = 14$ vs. $H _ { \mathrm { a } } : \mu < 14$
C) $H _ { 0 } : \mu = 14$ vs. $H _ { \mathrm { a } } : \mu \neq 14$
D) $H _ { 0 } : \mu = 14$ vs. $H _ { \mathrm { a } } : \mu > 14$ of